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We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Buechler , G. Colangelo , J. Kambor , F. Orellana

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

A scenario is investigated in which the leading-twist pion distribution amplitude phi_pi (x) is approximated by the pion decay constant f_pi for all essential values of the light-cone fraction x. A model for the light-front wave function…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. V. Radyushkin

The holographic QCD prediction for the pion distribution amplitude (DA) $\phi_{hol}(u)$ is used to compute the pion spacelike electromagnetic form factor $F_{\pi}(Q^2)$ within the QCD light-cone sum rule method. In calculations the pion's…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. S. Agaev , M. A. Gomshi Nobary

Generalised Parton Distributions (GPDs) provide multidimensional insight into hadron structure and are particularly relevant for the pion, whose dynamics are intimately linked to chiral symmetry breaking. We introduce a novel modelling…

High Energy Physics - Phenomenology · Physics 2026-03-19 J. M. Morgado-Chávez , J. Segovia , F. de Soto , J. Rodríguez-Quintero , V. Bertone , M. Defurne , C. Mezrag , H. Moutarde

We present a systematic study of twist three light-cone distribution amplitudes of vector mesons in QCD, which is based on conformal expansion and takes into account meson and quark mass corrections. A complete set of distribution…

High Energy Physics - Phenomenology · Physics 2010-01-07 Patricia Ball , V. M. Braun , Y. Koike , K. Tanaka

The two-pion correlation function can be defined as a ratio of either the measured momentum distributions or the normalized momentum space probabilities. We show that the first alternative avoids certain ambiguities since then the…

Nuclear Theory · Physics 2008-11-26 Q. H. Zhang , P. Scotto , U. Heinz

We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov

The Vector Pion form factor below 1 GeV is analyzed using experimental data on its modulus, the P-wave pion pion phase shifts and dispersion relation. It is found that causality is satisfied. Using dispersion relation, terms proportional to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

Analyses of the pion valence-quark distribution function (DF), ${u}^\pi(x;\zeta)$, which explicitly incorporate the behaviour of the pion wave function prescribed by quantum chromodynamics (QCD), predict ${u}^\pi(x\simeq 1;\zeta) \sim…

High Energy Physics - Phenomenology · Physics 2022-02-09 Z. -F. Cui , M. Ding , J. M. Morgado , K. Raya , D. Binosi , L. Chang , J. Papavassiliou , C. D. Roberts , J. Rodríguez-Quintero , S. M. Schmidt

We present parton distribution functions which include a quantitative estimate of its uncertainties. The parton distribution functions are optimized with respect to deep inelastic proton data, expressing the uncertainties as a density…

High Energy Physics - Phenomenology · Physics 2007-05-23 Walter T. Giele , Stephane A. Keller , David A. Kosower

We suggest to probe the pion light-cone distribution amplitude, applying a dispersion relation for the pion electromagnetic form factor. Instead of the standard dispersion relation, we use the equation between the spacelike form factor…

High Energy Physics - Phenomenology · Physics 2020-11-04 Shan Cheng , Alexander Khodjamirian , Aleksey V. Rusov

A general derivation of the multi-pion correlation function for completely chaotic source is given. Its effects on the pion multiplicity distribution, two-pion interferometry are studied. A generalized multi-pion correlation function for a…

High Energy Physics - Phenomenology · Physics 2015-06-25 Chao wei-qin , Gao chong-shou , Zhang qing-hui

We calculate the QCD moments of the pion structure function using Drell-Yan data on the quark distributions in the pion and a phenomenological model for the resonance region. The extracted higher twist corrections are found to be larger…

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Melnitchouk

During the expansion of a heavy ion collision, the system passes close to the $O(4)$ critical point of QCD, and thus the fluctuations of the order parameter $(\sigma, \vec{\pi})$ are expected to be enhanced. Our goal is to compute how these…

Nuclear Theory · Physics 2021-09-01 Eduardo Grossi , Alexander Soloviev , Derek Teaney , Fanglida Yan

Multi-pion correlation effect on the source distribution is studied. It is shown that multi-pion Bose-Einstein correlation make the average radius of the pion source become smaller. The isospin effect on the pion multiplicity distribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Q. H. Zhang

We develop a formalism to calculate form factor and charge density distribution of pion in the chiral limit using the holographic dual model of QCD with hard-wall cutoff. We introduce two conjugate pion wave functions and present analytic…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. R. Grigoryan , A. V. Radyushkin

We calculate the valence quark distribution functions of the $\pi$ meson using the non-relativistic chiral constituent quark model. The $\pi$ wave function is obtained by solving the two-body Schr\"odinger equation within the framework of…

High Energy Physics - Phenomenology · Physics 2023-08-21 Qian Wu , Chengdong Han , Di Qing , Wei Kou , JuJun Xie , Fan Wang , Xurong Chen

We extract the pion fragmentation functions and their uncertainties from a judicious choice of e+e- and semi-inclusive DIS data. These are used to study the error propagation in the extraction of polarized parton densities from…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kretzer , E. Leader , E. Christova

Compound Poisson distributions have been employed by many authors to fit experimental data, typically via the method of moments or maximum likelihood estimation. We propose a new technique and apply it to several sets of published data. It…

Methodology · Statistics 2025-04-01 S. R. Mane